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Finding the Third Proportional to 71.56 and 154.38

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Solution

The third proportional to 71.56 and 154.38 is: 333.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.56 : 154.38 = 154.38 : x
  2. Step 2: Convert to fraction form
    71.56/154.38 = 154.38/x
  3. Step 3: Cross multiply
    71.56x = 154.38 × 154.38
  4. Step 4: Simplify right side
    71.56x = 23,831.64
  5. Step 5: Solve for x
    x = 23,831.64/71.56
  6. Step 6: Final answer
    x = 333.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.